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Finding the Fourth Proportional to 1,881.17, 2,822.03 and 582.34

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Solution

The fourth proportional to 1,881.17, 2,822.03 and 582.34 is: 873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.17 : 2,822.03 = 582.34 : x
  2. Step 2: Convert to fraction form
    1,881.17/2,822.03 = 582.34/x
  3. Step 3: Cross multiply
    1,881.17x = 2,822.03 × 582.34
  4. Step 4: Simplify right side
    1,881.17x = 1,643,363.93
  5. Step 5: Solve for x
    x = 1,643,363.93/1,881.17
  6. Step 6: Final answer
    x = 873.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.